Question

The gas phase decomposition of sulfuryl chloride at 600 K So,C12(e) SO2(g) + Cl2(E) is first order in SO,Cl, with a rate constant of 2.80x10 min! If the initial concentration of SO,Cl, is 1.66x10-M, the concentration of So,Cl, will be Mafter 815 min have passed. Submit Answer Try Another Version 2 Item attempts remaining

Answer 1

Solution-

The rate constant = 2.80*10^-3 min-1.

for 1st order reaction the reaction can be written as :-

=>rate constant(k)*time(t) = ln{[initial concentration of reactant]/[concentration left after time't']}

Let x be the concentration left after 804 min

=> (2.8*10^-3)*815 = ln{(1.66*10^-3)/x}

=> 2.282 =(1.66*10^-3)/x
=>e^(2.282) x= 1.66*10^-3
=> 9.79x=1.66*10^-3
=>x= (1.66*10^-3/9.79) M

= 1.69*10^-4 M